Existence and multiplicity results for a class of generalized one-dimensional -Laplacian problem

✍ Scribed by Youwei Zhang

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 549 KB
• Volume: 72
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2009.07.015

✦ Synopsis

In this paper, we study a class of one-dimensional p-Laplacian boundary value problem with generalized Sturm-Liouville boundary conditions. Some results are obtained for existence of at least three positive solutions by using the related fixed point theory. The interesting point is the nonlinear term f which involves the first order derivative explicitly.